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10401450414541 = 437311335383071
BaseRepresentation
bin1001011101011100011011…
…0000011101000111001101
31100211100221222000022112021
42113113012300131013031
52330404132301231131
634042205500410141
72122323431513164
oct227270660350715
940740858008467
1010401450414541
11335025965931a
1211bba54846951
135a5b11117304
1427d60bba83db
15130873d3de11
hex975c6c1d1cd

10401450414541 has 32 divisors (see below), whose sum is σ = 10915589025792. Its totient is φ = 9903453880320.

The previous prime is 10401450414533. The next prime is 10401450414577. The reversal of 10401450414541 is 14541405410401.

It is a cyclic number.

It is not a de Polignac number, because 10401450414541 - 23 = 10401450414533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10401450414497 and 10401450414506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401450414841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125170036 + ... + 125253106.

It is an arithmetic number, because the mean of its divisors is an integer number (341112157056).

Almost surely, 210401450414541 is an apocalyptic number.

It is an amenable number.

10401450414541 is a deficient number, since it is larger than the sum of its proper divisors (514138611251).

10401450414541 is a wasteful number, since it uses less digits than its factorization.

10401450414541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83653.

The product of its (nonzero) digits is 25600, while the sum is 34.

Adding to 10401450414541 its reverse (14541405410401), we get a palindrome (24942855824942).

The spelling of 10401450414541 in words is "ten trillion, four hundred one billion, four hundred fifty million, four hundred fourteen thousand, five hundred forty-one".

Divisors: 1 43 73 113 353 3139 4859 8249 15179 25769 39889 83071 354707 1108067 1715227 2911897 3572053 6064183 9387023 29324063 125211571 260759869 403641989 685252679 1260934709 2140656599 3313619119 29465865197 92048233757 142485622117 241894195687 10401450414541